For a string x, let [x]k denote the integer value of x treated as a number written in base k. For example [101]2=5 and [0210]3=21. For any k, We define []k=0. roblem 1: Automata [20] a. Let 2={[00],[01],[10],[11]} be the set of all 2-element column vectors of binary digits. A string over 2 is interpreted as 2 rows of binary strings. For example the string [01][11][10][10] would be interpreted as the two strings [01111100]. Let A={[v]2[v]2=5[u]2} Show that A is regular. [10]